10004220042313 has 16 divisors (see below), whose sum is σ = 11510871669760. Its totient is φ = 8516955114000.

The previous prime is 10004220042211. The next prime is 10004220042343. The reversal of 10004220042313 is 31324002240001.

10004220042313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10004220042313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10004220042343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6225358 + ... + 7665736.

It is an arithmetic number, because the mean of its divisors is an integer number (719429479360).

Almost surely, 2^{10004220042313} is an apocalyptic number.

It is an amenable number.

10004220042313 is a deficient number, since it is larger than the sum of its proper divisors (1506651627447).

10004220042313 is a wasteful number, since it uses less digits than its factorization.

10004220042313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447108.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10004220042313 its reverse (31324002240001), we get a palindrome (41328222282314).

The spelling of 10004220042313 in words is "ten trillion, four billion, two hundred twenty million, forty-two thousand, three hundred thirteen".